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The Non-Profit Times conducted a random sample of 126 U.S. non-profit companies at the beginning of 2005. The results reported that the average salary of an executive director of a nonprofit was $92,411 per year with a sample standard deviation of $25,326. A research team from a competing newspaper, which was skeptical of these results, conducted a survey of its own with the same size sample of companies and obtained a mean salary of $87,566 for executive directors (with approx. the same standard deviation as the non-profit times sample).
1) Set up the appropriate null and alternative hypothesis for testing whether the original sample overestimated the average executive director annual salary.
2) Now test the competing newspaper's view that the original sample overestimated the average executive director annual salary. Use an estimation (total) error of 5 percent.
What is the probability that a student who has failed the test came from the South District?
A new county hospital is attempting to determine whether it needs to add a particular specialist to its staff. Five percent of the general hospital population in the county contracts the illness the specialist would treat.
Sam Sleep researcher hypothesizes that people who are allowed to sleep for only four hours will score significantly lower than people who are allowed to sleep for eight hours on a management ability test.
Develop four probability questions using the table that you as an instructor of statistics might ask a class of students for a test in probability.
Lemon Corporation, an automobile manufacturer, is trying to determine the source of defects in some of its autos.
If a total of 5,450 packages are shipped for .$1,926, determine how many individual packages were shipped and how many groups of 15 were shipped.
What do the coefficients of the regression line tell you about the relationship between mortgage rates and housing starts?
According to a recently conducted survey, 90% of all drivers in Trinidad and Tobago claim to consistently driver over the legal speed limit.
The wheat harvesting season is short. Farmers deliver their truck loads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for ..
In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college.
Use α =.01 and test for a significant difference. What is your conclusion?
Test whether the weight reducers on average will lose less than 10 pounds using P-value approach.
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